{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "figured-representation",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3.13.2 | packaged by conda-forge | (main, Feb 17 2025, 14:10:22) [GCC 13.3.0]\n",
      "2025.09.1\n"
     ]
    }
   ],
   "source": [
    "import sys\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "from rdkit import rdBase, Chem, DataStructs\n",
    "from rdkit.Chem import AllChem, Draw, Descriptors, PandasTools, rdMolDescriptors\n",
    "PandasTools.RenderImagesInAllDataFrames(True)\n",
    "from rdkit.Chem.Draw import IPythonConsole\n",
    "from rdkit.Chem.Draw import rdDepictor\n",
    "\n",
    "rdDepictor.SetPreferCoordGen(True)\n",
    "IPythonConsole.molSize = (500,250)\n",
    "IPythonConsole.ipython_useSVG=True\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "print(sys.version)\n",
    "print(rdBase.rdkitVersion)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "f679d780-6d84-4f38-bf75-ba1c32e76ede",
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_3d_distance_map(smiles):\n",
    "    mol = Chem.MolFromSmiles(smiles)\n",
    "    mol = Chem.AddHs(mol)  # 加氢\n",
    "    AllChem.EmbedMolecule(mol, AllChem.ETKDG())  # 生成3D构象\n",
    "    conf = mol.GetConformer()\n",
    "    num_atoms = mol.GetNumAtoms()\n",
    "    \n",
    "    distance_map = np.zeros((num_atoms, num_atoms))\n",
    "    for i in range(num_atoms):\n",
    "        for j in range(num_atoms):\n",
    "            distance = Chem.rdMolTransforms.GetBondLength(conf, i, j) if i != j else 0\n",
    "            pos_i = conf.GetAtomPosition(i)\n",
    "            pos_j = conf.GetAtomPosition(j)\n",
    "            distance = np.linalg.norm(np.array([pos_i.x, pos_i.y, pos_i.z]) - \n",
    "                                      np.array([pos_j.x, pos_j.y, pos_j.z]))\n",
    "            distance_map[i, j] = distance\n",
    "    return distance_map"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "5c3a8b66-6612-4948-a503-412a1670ee17",
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_topological_distance_map(smiles):\n",
    "    mol = Chem.MolFromSmiles(smiles)\n",
    "    dists = Chem.GetDistanceMatrix(mol)\n",
    "    return dists"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "earlier-metropolitan",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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       "' fill='#0000FF'/>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<rdkit.Chem.rdchem.Mol at 0x77dc442dfa70>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mol = Chem.MolFromSmiles('Cc1c(-c2ccc(N3CCc4cccc(C(=O)Nc5nc6ccccc6s5)c4C3)nc2C(=O)O)cnn1CC12CC3CC(CC(C3)C1)C2')\n",
    "mol"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "b0adeb14-9d4c-4297-b919-4bb42968ec17",
   "metadata": {},
   "outputs": [],
   "source": [
    "dist_map = get_3d_distance_map('Cc1c(-c2ccc(N3CCc4cccc(C(=O)Nc5nc6ccccc6s5)c4C3)nc2C(=O)O)cnn1CC12CC3CC(CC(C3)C1)C2')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "d3b36b57-0c82-482f-9a4f-a2c69b7e9513",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(6, 5))\n",
    "plt.imshow(dist_map, cmap='viridis')\n",
    "plt.colorbar(label='Distance (Å)')\n",
    "#plt.title(title)\n",
    "plt.xlabel('Atom Index', fontsize=12)\n",
    "plt.ylabel('Atom Index', fontsize=12)\n",
    "#plt.legend(fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "98d49db3-281b-4cb2-a464-e2d72563624e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dist_map_1 = get_3d_distance_map('CCC(C)n1ncn(-c2ccc(N3CCN(c4ccc(OC[C@H]5CO[C@](Cn6cncn6)(c6ccc(Cl)cc6Cl)O5)cc4)CC3)cc2)c1=O')\n",
    "plt.figure(figsize=(6, 5))\n",
    "plt.imshow(dist_map_1, cmap='viridis')\n",
    "plt.colorbar(label='Distance (Å)')\n",
    "#plt.title(title)\n",
    "plt.xlabel('Atom Index', fontsize=12)\n",
    "plt.ylabel('Atom Index', fontsize=12)\n",
    "#plt.legend(fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "a5f15a15-c6fc-4b32-b2ad-0dbeae270873",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dist_map_2 = get_3d_distance_map('CONC(=O)Nc1ccc(-c2sc3c(c2CN(C)C)c(=O)n(-c2ccc(OC)nn2)c(=O)n3Cc2c(F)cccc2F)cc1')\n",
    "plt.figure(figsize=(6, 5))\n",
    "plt.imshow(dist_map_2, cmap='viridis')\n",
    "plt.colorbar(label='Distance (Å)')\n",
    "#plt.title(title)\n",
    "plt.xlabel('Atom Index', fontsize=12)\n",
    "plt.ylabel('Atom Index', fontsize=12)\n",
    "#plt.legend(fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "653e1094-832d-4085-ad27-deb6e1711775",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "RDKit313",
   "language": "python",
   "name": "rdkit313"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.13.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
